The laconic Scot said just being called "Andy" was fine despite a decision by Australia's Channel Seven to refer to him as "Sir Andy Murray" at the tournament.
"I'm more than happy just being Andy. That's enough for me," he said. "Yeah, if they call me 'Andy', that's cool. I'd be happy with that."
Murray is entering his first Grand Slam since being knighted in Britain's New Year Honours, and his first as world number one after he displaced Novak Djokovic late last season.
"I haven't really noticed it. It kind of happened for me right at the end of the year, so I haven't been on the tour much as the number one player," he said.
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"So I haven't noticed it yet. I don't know if that will come over time, if I'm able to stay there or not."
More importantly, Murray is pondering how to win his first Australian Open title after being an unsuccessful finalist five times.
"It was a tough tournament," said Murray, who seriously considered pulling out and bolted for the airport after losing the final to Djokovic in straight sets.
"It was like, I want to be at home for the birth, but then I'm not just going to leave whilst my father-in-law is also in hospital," he added.
"Yeah, it was tough, and certainly not a position I would want to put myself in again, or my wife, or any of my family really."
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This time around, Murray is in a far happier position and he will approach his opening match against Ukraine's Ilya Marchenko in a relaxed frame of mind.
As well as becoming a father, he won his second Wimbledon title and successfully defended his Olympic singles gold medal, before reaching world number one for the first time.
"I obviously feel pretty confident after the way that last season finished," he said.
"I do love it here. I love the conditions. I have played really well here over the years, and just haven't managed to obviously get over the final hurdle.
He said he was also glad to have Ivan Lendl as his coach as he sets about trying to defend his ranking, chiefly from Djokovic who is showing signs of a resurgence.
"I think it could be quite easy that once you get to number one that you think, 'Well, actually, I just need to keep doing what I doing'," he said.
"The reality is, in sport, that things obviously keep moving on, the game will get better, I'll obviously get older, the young guys will continue to improve.
"So that's why having someone like Ivan on my team who has been in that position before and knows what that's like has been important.
"I need to continue to improve," he added. "Any weaknesses that are in my game, to try to get rid of them.